NFST Firefighter Math Reasoning 2 — Questions and Answers
Question 1: A fire hose delivers 150 gallons per minute. How many gallons are delivered in 25 minutes?
- 3,500 gallons
- 3,750 gallons (Correct answer)
- 4,000 gallons
- 3,250 gallons
Correct answer: 3,750 gallons
150 × 25 = 3,750 gallons.
Question 2: A ladder is 35 feet long and is placed so that the base is 7 feet from the building. What is the approximate height the ladder reaches on the building?
- 28 feet
- 30 feet
- 34 feet (Correct answer)
- 32 feet
Correct answer: 34 feet
Using the Pythagorean theorem: √(35² − 7²) = √(1225 − 49) = √1176 ≈ 34.3 feet.
Question 3: A fire station uses 480 gallons of water during a training drill. If the tank started at 1,200 gallons, what percentage remains after the drill?
- 55%
- 60% (Correct answer)
- 65%
- 70%
Correct answer: 60%
(1,200 − 480) / 1,200 × 100 = 720 / 1,200 × 100 = 60%.
Question 4: If a firefighter earns $52,000 per year, what is their approximate monthly salary?
- $4,000
- $4,333 (Correct answer)
- $4,500
- $4,167
Correct answer: $4,333
$52,000 ÷ 12 ≈ $4,333 per month.
Question 5: A building has 8 floors, each 12 feet tall. What is the total height of the building in feet?
- 84 feet
- 96 feet (Correct answer)
- 102 feet
- 108 feet
Correct answer: 96 feet
8 × 12 = 96 feet.
Question 6: Firefighters respond to 3 calls in 4 hours. At this rate, how many calls would they respond to in a 24-hour shift?
- 15
- 18 (Correct answer)
- 21
- 24
Correct answer: 18
(3 ÷ 4) × 24 = 18 calls.
Question 7: A fire burns at a rate consuming 200 square feet every 5 minutes. How many square feet will burn in 30 minutes?
- 900 sq ft
- 1,000 sq ft
- 1,100 sq ft
- 1,200 sq ft (Correct answer)
Correct answer: 1,200 sq ft
200 ÷ 5 = 40 sq ft/min; 40 × 30 = 1,200 sq ft.
NFST Firefighter Math Reasoning 2
A fire hose delivers 150 gallons per minute.
How many gallons are delivered in 25 minutes?